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" Computational geometry : "
Mark de Berg [and others].
Document Type
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BL
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Record Number
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810188
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Doc. No
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b624204
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Title & Author
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Computational geometry : : algorithms and applications /\ Mark de Berg [and others].
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Edition Statement
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3rd ed.
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Publication Statement
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Berlin :: Springer,, ©2008.
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Page. NO
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1 online resource (xii, 386 pages) :: illustrations
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ISBN
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9783540779742
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: 3540779744
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: 9783540779735
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: 3540779736
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Bibliographies/Indexes
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Includes bibliographical references (pages 357-376) and index.
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Contents
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Computational Geometry: Introduction -- Line Segment Intersection: Thematic Map Overlay -- Polygon Triangulation: Guarding an Art Gallery -- Linear Programming: Manufacturing with Molds -- Orthogonal Range Searching: Querying a Database -- Point Location: Knowing Where You Are -- Voronoi Diagrams: The Post Office Problem -- Arrangements and Duality: Supersampling in Ray Tracing -- Delaunay Triangulations: Height Interpolation -- More Geometric Data Structures: Windowing -- Convex Hulls: Mixing Things -- Binary Space Partitions: The Painter's Algorithm -- Robot Motion Planning: Getting Where You Want to Be -- Quadtrees: Non-Uniform Mesh Generation -- Visibility Graphs: Finding the Shortest Route -- Simplex Range Searching: Windowing Revisited -- Bibliography -- Index.
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Abstract
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This well-accepted introduction to computational geometry is a textbook for high-level undergraduate and low-level graduate courses. The focus is on algorithms and hence the book is well suited for students in computer science and engineering. Motivation is provided from the application areas: all solutions and techniques from computational geometry are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. For students this motivation will be especially welcome. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement. All the basic techniques and topics from computational geometry, as well as several more advanced topics, are covered. The book is largely self-contained and can be used for self-study by anyone with a basic background in algorithms. In this third edition, besides revisions to the second edition, new sections discussing Voronoi diagrams of line segments, farthest-point Voronoi diagrams, and realistic input models have been added.
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Subject
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Geometry-- Data processing, Textbooks.
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Subject
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Geometry-- Data processing.
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Subject
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Informatique.
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Subject
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Geometry-- Data processing.
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Dewey Classification
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516.00285
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LC Classification
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QA448.D38C65 2008eb
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NLM classification
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O18clc
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Added Entry
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Berg, Mark de.
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